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Finding the Fourth Proportional to 30,978.96, 46,471.80 and 9,914.04

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Solution

The fourth proportional to 30,978.96, 46,471.80 and 9,914.04 is: 14,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.96 : 46,471.80 = 9,914.04 : x
  2. Step 2: Convert to fraction form
    30,978.96/46,471.80 = 9,914.04/x
  3. Step 3: Cross multiply
    30,978.96x = 46,471.80 × 9,914.04
  4. Step 4: Simplify right side
    30,978.96x = 460,723,284.07
  5. Step 5: Solve for x
    x = 460,723,284.07/30,978.96
  6. Step 6: Final answer
    x = 14,872.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.